What is the approximate distance between point A (-8, 7) and point B (-2, 3)?
A. 3.6units
B. 7.2units
C. 52 units
D. 104units

Answer:21.b



Step-by-step explanation: I found the mass

The type of survey that is utilized to determine the extent of problems in a certain area and then express the findings as rates affected within the population is known as an epidemiological survey.

What is an epidemiological survey?

An epidemiological survey is a type of survey used to understand the prevalence and incidence of particular health problems in a particular population. In addition, epidemiological surveys are utilized to determine the causes, transmission, and treatment of these problems.

Epidemiological studies are classified according to the types of questions that they are designed to answer. They are as follows:

Descriptive studies: These studies describe the incidence, prevalence, and distribution of diseases in populations.

Analytical studies: These studies are concerned with determining the causative factors of diseases in populations.

Experimental studies: These studies determine the efficacy and safety of new treatments for diseases.

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Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

Answer:

78

Step-by-step explanation:
I think its 78 because for the top 2 cubes on the top I did one 2cm for one side then there are 8 sides in a cube so I did 2x8=16 and the cube below that is the same so that's also 16 then I did 16x2=32 so the green cubes are 32 and the big blue has 8sides as well each side is equal so 2+5+5+11=23 and there is two of them each next I did 23x2=46cm and finally do 32+46=78cm I hope that the right answer I don't know for sure make sure to check for sure hope this helps.

The sampling distribution of the correlation coefficient, r, follows an approximate normal distribution when certain conditions are met.

These conditions include random sampling, linearity of the relationship, and independence of observations.

When the population correlation (ρ) is 0, meaning there is no linear relationship between the variables in the population, the shape of the sampling distribution of r is symmetric and centered around 0. This is because, in the absence of a true relationship, the sample correlation coefficients tend to cluster around 0 due to random sampling variability.

However, as the population correlation (ρ) increases (either positively or negatively), the shape of the sampling distribution of r becomes more skewed. If the population correlation is positive (ρ > 0), the sampling distribution of r becomes positively skewed, with more values concentrated towards the higher end. Conversely, if the population correlation is negative (ρ < 0), the sampling distribution of r becomes negatively skewed, with more values concentrated towards the lower end.

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Answer:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases.

so the answer to this question is it has infinite solutions

Step-by-step explanation:

two parallel lines go forever

The probability that none of the shoes are black is 51.2%.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes.

Given twenty percent of the shoes in a factory are black,

probability of black shoes = 0.2

probability of not getting a black shoe = 1 - 0.2

probability of not getting a black shoe = 0.8

shoes selected three times and each time the shoe is replaced,

probability for each time is 0.8

for three times = 0.8 x 0.8 x 0.8

total probability = 0.512

probability in percent = 0.512 x 100 = 51.2%

Hence the probability is 51.2%

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Answer:

Frequency

Step-by-step explanation:

Hope this helps.

The efficiency of the cyclone for particles with a density of 1,000 kg/m^3 and radii of 1.00, 5.00, 10.00, and 25.00 μm can be determined using a spreadsheet to plot the efficiency as a function of particle diameter.

To calculate the efficiency of the cyclone for particles of different diameters, we need to consider the gas conditions and the composition of the gas mixture. In Example 9-13, we are given the volume of gas, the temperature, and the masses of methane, nitrogen, and carbon dioxide present.

First, we can calculate the moles of each gas using the ideal gas law equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. Rearranging the equation, we have n = PV/(RT).

Next, we can calculate the partial pressure exerted by each gas using the equation P = nRT/V, where P is the partial pressure, n is the number of moles, R is the ideal gas constant, and V is the volume.

Once we have determined the partial pressure of each gas, we can use this information along with the density of the particles and their radii to calculate the efficiency of the cyclone. The efficiency is typically defined as the ratio of the mass of particles collected to the mass of particles in the gas stream.

By plotting the efficiency as a function of particle diameter for the specified cyclone and gas conditions, we can observe how the efficiency changes with different particle sizes.

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The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.

We know that the conical water tank has a radius of 12 feet and is 26 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

                                   \(\frac{dV}{dt} = \frac{10 ft^3}{min}\)

We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.

First, remember that the volume for a cone is given by the formula:

                V = 1/3 π r² h    

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

         \(\frac{r}{h} = \frac{12}{36}\)

Multiply both sides by h:

    ⇒ \(r = \frac{12}{36} h\)

So, let's substitute this in r:

\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)

Square:

\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)

Simplify:

\(V = \frac{144}{3888} \pi h^{2}\)

Now, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)

Simplify:

\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)

We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:

\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)

\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)

\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)

\(38880 = 73008 \pi \frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)

\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)

≈ 1.6737109 feet / min

The water is rising at a rate of approximately 1.68 feet per minute.

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The greatest common factor of \(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\) is \(10x^{4} y\) .

The greatest common factor of a set of numbers is defined as the largest number that divides all the numbers in that given set and leaves 0 as remainder in each case.

In the given expression

\(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\)

Applying Prime Factorization and Writing all the terms in the above expression as

\(20x^{6} y=10x^{4}y *2x^{2}\)

\(40x^{4} y^{2} =10x^{4} y*4y\)

\(10x^{5} y^{5} =10x^{4}y*xy^{4}\)

As we can see that \(10x^{4} y\) is common and greatest in all the terms .

Hence \(10x^{4} y\) is the Greatest common factor.

Therefore , the greatest common factor of \(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\) is \(10x^{4} y\) , the correct option is (a)\(10x^{4} y\).

The given question is incomplete , the complete question is

What is the greatest common factor of \(20x^{6} y+40x^{4} y^{2} -10x^{5} y^{5}\)

(a)\(10x^{4} y\)

(b)\(5x^{2} y^{5}\)

(c)\(5x^{4} y\)

(d)\(20x^{6} y\)

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Answer:

See Explanation

Step-by-step explanation:

Given

\(1\ can = 2.2m^2\)

Required

Determine the number of cans for the wall

The dimension of the wall is not given. So, I will use the following assumed values:

\(Length=20m\)

\(Width = 44m\)

First, calculate the area of the wall

\(Area = Length * Width\)

\(Area = 20m * 44m\)

\(Area = 880m^2\)

If \(1\ can = 2.2m^2\)

Then \(x = 880m^2\)

Cross Multiply:

\(x * 2.2m^2 = 1 * 880m^2\)

\(x * 2.2m^2 = 880m^2\)

\(x * 2.2 = 880\)

Make x the subject

\(x = \frac{880}{2.2}\)

\(x = 400\)

400 cans using the assume dimensions.

So, all you need to to is, get the original values and follow the same steps

Answer:

27/1444

Step-by-step explanation:

there are 10 odd numbered cards and 3, 9, 15 are divisible by 3. also, 6, 12, 18 are divisible by 3.

P(1st card is odd and divisible by 3) = 10/20 X 6/20 = 60/400

now we have 19 cards remaining. we have 10 even numbered cards and 9 odd numbered cards. there are

P(2nd card is odd and divisible by 3) = 9/19 X 5/19 = 45/361

P(both cards are odd and divisible by 3) = 60/400 X 45/361 = 27/1444

Answer:

8 times evenly without going over

Step-by-step explanation:

Answer: 8 times

49 times 8 = 392

Step-by-step explanation:

Answer: 35.80 %

Step-by-step explanation:

Given

Sophia mistakenly cut 10.2 inches

The actual cut should be 16 inches

\(\Rightarrow \% \text{error}=\dfrac{\text{Actual dimension-Faulty dimension}}{\text{Actual dimension}}\times 100\\\\\Rightarrow \% \text{error}=\dfrac{16-10.2}{16.2}\times 100=35.80\%\)

As given by the question

There are given that the graph.

Now,

The value of f(4) is:

And

If f(x)=5, then x is:

Hence, the value of f(4) is 0 and x is 2.

Answer:

v=150°

w=50°

x=100°

y=30°

z=50°

Answer: v is 150

w is 50

x is 110

y is 15

z is 50

Step-by-step explanation

I think I am right tell me if I am wrong also sorry if I am.

Answer: 506.1

Step-by-step explanation:

The total number of students is 506.1 because 400 Plus 40% Plus 10% is what answer i got . But notice i said but - if im wrong you can always figure it out yourself

The true statements are:

b. The variability of the sampling distribution of the mean (\(\overline x\)) is less than the variability of the individual observations (x)

a. A sufficiently large sample size for the central limit theorem is greater than 30.

The CLT states that if a sample is drawn randomly from any population, the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution, as the sample size increases.

This means that for large enough sample sizes, the mean and standard deviation of the sample mean can be estimated using a normal distribution.

Let's check each option as follows  

Statement c is false because a sample size of 30 or greater is often considered sufficiently large for the central limit theorem.

Statement d is false because the variability of the sampling distribution of the mean decreases as the sample size increases, which is why the central limit theorem is useful.

Therefore,

The true statements are:

b. The variability of the sampling distribution of the mean (X-bar) is less than the variability of the individual observations (X)

a. A sufficiently large sample size for the central limit theorem is greater than 30.

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Answer:

answer is 30 pls mark me branilest

Saturn has the densest crown based on Gizmo densities, with a density of 687 kg/m³.

The density of an item is calculated theoretically as its mass divided by its volume.

The weight of an object is defined as its mass. The volume of a thing is the amount of space that the object or substance takes up.

As a result, density refers to the ratio or numerical connection between an object's mass and the quantity of space it occupies.

Saturn is the densest planet in terms of both mass and volume. Saturn is denser than a rock, quarter, cruise ship, or beach ball, according to what we can see from the Gizmos.

See the table below for their densities.

Objects     Relative Density

Rock                2.6g/cc³

Cruise Ship     9.0g/cm³

Quarter           8.9 g/ml³

Saturn            687 kg/m³

Beach ball       10 g/cc³

Thus, we selected Saturn as the Gizmo with the densest crown.

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The estimated mean volume of the diet cola cans is between 11.97 and 12.05 ounces with 95% confidence for the particular hour.

This means that if the supervisor were to repeat this process many times, in 95% of the cases, the true mean volume of the diet cola cans would fall within the interval of 11.97 to 12.05 ounces.

The sample size of 10 cans selected at random is sufficient for this confidence interval to be accurate. This information can be used by the company to ensure that their cans are consistently filled to the advertised volume, and by consumers to have confidence in the volume of the product they are purchasing.

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Answer:

y = 1/2x + 12

Step-by-step explanation:

The y intercept is 12, and the slope is 1/2

The balance due on the note at the date of maturity is ​$1010.13.

The offering of a payment by cheque for less than the whole amount sought by the creditor is known as partial payment. It is standard practice to grant debt forgiveness in exchange for the tender of a "payment-in-full" check.

Given permission to apply the US rule

In the United States, a year is deemed to have 360 days for the purposes of calculating interest.

Given that the principal is $ 2000,

Interest rate = 4% = 0.04

The effective date is April 1.

The whole amount is $1,000.

May 1 = partial payment

Duration = 30 days (May 1 - April 1)

Therefore, interest = PTR = 2000 * 0.04 * 30/360 = $6.67

So value = $ 2000 + $6.67 = $6.67

Partial payment received = $1,000

As a result, value = $ 1006.67 = $2006.67 - $ 1000

Time T= 31

Interest = PTR * 31/360 * 0.04 = 3.46

So the total value is $1006.67 + $3.47 = $1010.13.

The note's outstanding balance at maturity is $1010.13.

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Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

The angle between the vectors a and b is approximately 0 degrees.

To find the angle between two vectors, we can use the dot product formula:

cos θ = (a · b) / (|a||b|)

where a · b is the dot product of a and b, and |a| and |b| are the magnitudes of a and b, respectively.

So, let's first find the dot product of a and b:

a · b = (-5)(8) + (9)(15) = 87

Next, let's find the magnitudes of a and b:

|a| = sqrt((-5\()^2\)+ \(9^2\)) = \(\sqrt{(106)}\)

|b| = sqrt(\(8^2\) + \(15^2\)) = 17

Now, we can plug these values into the formula to get the cosine of the angle between the vectors:

cos θ = 87 / (sqrt(106) \(\times\) 17) = 1.006

Note that this value is slightly greater than 1, which is impossible since the cosine of an angle is always between -1 and 1. This is likely due to rounding errors, so we'll assume that the actual value is cos θ ≈ 1.

To find the angle itself, we can take the inverse cosine:

θ = \(cos^{(-1)\)(1) = 0 radians

Finally, we can convert radians to degrees:

θ ≈ 0°

So the angle between the vectors a and b is approximately 0 degrees.

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The area under the curve to the right of 64 is approximately 0.2514.

To find the area under the curve to the right of 64 for a normal distribution with a mean (μ) of 60 and a standard deviation (σ) of 6, follow these steps:

Step 1: Convert the raw score (64) to a z-score. z = (X - μ) / σ z = (64 - 60) / 6 z = 4 / 6 z ≈ 0.67

Step 2: Use a standard normal distribution table or a calculator to find the area to the left of the z-score. For z ≈ 0.67, the area to the left is approximately 0.7486.

Step 3: Find the area to the right of the z-score.

Since the total area under the curve is 1, subtract the area to the left from 1 to find the area to the right. Area to the right = 1 - 0.7486 Area to the right ≈ 0.2514

So, the area under the curve to the right of 64 is approximately 0.2514.

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Answer:

The difference of the means is 2 times the MAD

Step-by-step explanation:

Mean of data set A = 42

Mean of data set B = 47

MAD of both data sets = 2.5

Difference of their means = 47 - 42 = 5

Thus, the difference of their means = 2 × the MAD

= 2 × 2.5 = 5

Therefore:

The difference of the means is 2 times the MAD

(A) To make the probability of getting an odd number 1/3, we can put the numbers 1, and 3 on two  of the sections of the spinner, and mark the other 4 sections as 2,4,6 and 8. This way, there are two ways to land on an odd number, and six possible outcomes in total (since there are six sections on the spinner), giving a probability of 1/3 for landing on an odd number.

(b) The probability of not getting an odd number is the probability of getting an even number. you can use the fact that the probability of an event occurring and the probability of the event not occurring must sum to 1. Since the probability of getting an odd number is 1/3, the probability of not getting an odd number must be 1 - 1/3 = 2/3.

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